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Complex Symmetric C0-semigroups on A^2(C+)

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Acta Mathematica Sinica,English Series 2020年第10期36卷 1171-1182页

作者： Kai Kai HAN mao fa wang School of Mathematics and Statistics Hebei University of Economics and BusinessShijiazhuang 050061P.R.China School of Mathematics and Statistics Wuhan UniversityWuhan 430072P.R.China

In this paper,we study complex symmetric C0-semigroups on the Bergman space A^2(C+) of the right half-plane C+.In contrast to the classical case,we prove that the only involutive composition operator on A^2(C+) is the identity operator,and the class of J-symmetric composition operators does not coincide with the class of normal composition *** addition,we divide semigroups{φt}of linear fractional self-maps of C+into two *** show that the associated composition operator semigroup{Tt}is strongly continuous and identify its infinitesimal *** an application,we characterize Jσ-symmetric C0-semigroups of composition operators on A^2(C+).

关键词： C0-semigroup Bergman space composition operator complex symmetry

Integration Operators on Spaces of Dirichlet Series

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Acta Mathematica Sinica,English Series 2023年第10期39卷 1919-1938页

作者： Jia Le CHEN mao fa wang School of Mathematics and Statistics Shaanxi Normal UniversityXi’an 710119P.R.China School of Mathematics and Statistics Wuhan UniversityWuhan 430072P.R.China

We first study the Volterra operator V acting on spaces of Dirichlet *** prove that V is bounded on the Hardy space H_(0)^(p)for any 0 详细信息

We first study the Volterra operator V acting on spaces of Dirichlet *** prove that V is bounded on the Hardy space H_(0)^(p)for any 0

关键词： Integration operator Dirichlet series Hardy space Bergman space

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Compactness of Product Operators on the Bergman Space

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Acta Mathematica Sinica,English Series 2005年第4期21卷 723-732页

作者： mao fa wang Pei De LIU Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071 P. R. China Wuhan University Wuhan 430072 P. R. China

In this paper, we study the compactness of the product of a composition operator with another one＇s adjoint on the Bergman space. Some necessary and sufficient conditions for such operators to be compact are given.

关键词： Bergman space Composition operator Compact operator Angular derivative

Area Operators on Bergman Spaces

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Acta Mathematica Sinica,English Series 2024年第5期40卷 1161-1176页

作者： Xiao Fen LV Jordi PAU mao fa wang Department of Mathematics Huzhou UniversityHuzhou 313000P.R.China Departament de Matemàtiques i Informàtica Universitat de Barcelona08007 BarcelonaCataloniaSpain School of Mathematics and Statistics Wuhan UniversityWuhan 430072P.R.China

We completely characterize the boundedness of area operators from the Bergman spaces A_(α)^(p)(Bn)to the Lebesgue spaces L^(q)(S_(n))for all 0 详细信息

We completely characterize the boundedness of area operators from the Bergman spaces A_(α)^(p)(Bn)to the Lebesgue spaces L^(q)(S_(n))for all 0

关键词： Area operator Bergman space tent space area formula

Hardy空间与Bergman空间之间的向量值复合算子

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数学学报（中文版） 2009年第4期52卷 701-710页

作者：王茂发刘培德武汉大学数学与统计学院武汉430072

设φ是从多圆柱D^m到多圆柱D^n或从多圆柱D^m到单位球B_n的全纯映射,X是一无穷维复Banach空间.本文研究了X-值Hardy空间与Bergman空间之间的复合算子,给出了向量值复合算子C_φ有界性的完全刻画.

关键词：向量值全纯函数 Hardy空间 Bergman空间复合算子

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Bergman空间上的复合算子的范数

数学学报（中文版） 2004年第2期47卷 365-370页

作者：王茂发刘培德武汉大学数学与统计学院武汉430072

本文研究了Bergman空间上的复合算子的范数与再生核的关系,证明了紧复合算子C的范数‖C‖=sup{‖C*kw‖:w∈D}的充要条件是(0)=0或是仿射映射,即(z)=sz+t,s,t是满足|s|+|t|<1的常数,其中kw为Bergman空间的规范再生核, C*是C的共轭算子.

关键词： Bergman空间复合算子 Bergman再生核

钢中稀土与铌、钒、钛等微合金元素的相互作用

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稀土 2003年第5期24卷 1-3页

作者：姜茂发王荣李春龙东北大学辽宁沈阳110006 包头钢铁(集团)有限责任公司内蒙古包头014010

介绍了钢中稀土与微合金化元素的相互作用,微合金化元素可以增大稀土在钢中的固溶量,稀土可以细化钢中微合金元素沉淀相,增强微合金化元素在钢中的作用。

关键词：稀土微合金化元素沉淀相钢固溶量

Quantum discord of two-qutrit system under quantum-jump-based feedback control

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Chinese Physics B 2019年第12期28卷 75-81页

作者： Chang wang mao-fa fang Synergetic Innovation Center for Quantum Effects and Application Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of EducationSchool of Physics and ElectronicsHunan Normal UniversityChangsha 410081China

This paper studies quantum discord of two qutrits coupled to their own environments independently and coupled to the same environment simultaneously under quantum-jump-based feedback control. Our results show that spontaneous emission, quantum feedback parameters, classical driving, initial state, and detection efficiency all affect the evolution of quantum discord in a two-qutrit system. We find that under the condition of designing proper quantum-jump-based feedback parameters, quantum discord can be protected and prepared. In the case where two qutrits are independently coupled to their own environments, classical driving, spontaneous emission, and low detection efficiency have negative effect on the protection of quantum discord. For different initial states, it is found that the evolution of quantum discord under the control of appropriate parameters is similar. In the case where two qutrits are simultaneously coupled to the same environment,the classical driving plays a positive role in the generation of quantum discord, but spontaneous emission and low detection efficiency have negative impact on the generation of quantum discord. Most importantly, we find that the steady discord depends on feedback parameters, classical driving, and detection efficiency, but not on the initial state.

关键词： qutrit quantum-jump-based feedback quantum discord

Quantum speed limit time of a non-Hermitian two-level system

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Chinese Physics B 2020年第3期29卷 89-94页

作者： Yan-Yi wang mao-fa fang Synergetic Innovation Center for Quantum Effects and Application and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of EducationSchool of Physics and ElectronicsHunan Normal UniversityChangsha 410081China

We investigated the quantum speed limit time of a non-Hermitian two-level system for which gain and loss of energy or amplitude are present. Our results show that, with respect to two distinguishable states of the non-Hermitian system, the evolutionary time does not have a nonzero lower bound. The quantum evolution of the system can be effectively accelerated by adjusting the non-Hermitian parameter, as well as the quantum speed limit time can be arbitrarily small even be zero.

关键词： quantum speed limit time non-Hermitian dynamics quantum optics